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(1 point) Suppose that x = x(1) and y = y(t) are both functions of t. If y = 2x2 - 1, and dx/dt =

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(1 point) Suppose that x = x(1) and y = y(t) are both functions of t. If y = 2x2 - 1, and dx/dt = 4 when x = 20, what is dyldt? dyldt = Preview My Answer (1 point) Let A be the area of a circle with radius r. If ur - 4, find A when r = 1. Answer: (1 point) Let F(x) = f(f(x)) and G(x) = (F(x)) and suppose that f (9) = 8, f(8) = 2, f'(8) = 14, f (9) = 7 Find F' (9) and G' (9). F' (9) = G' (9) = ulat (1 point) a) The remote operated underwater vessel ROPOS descends at a rate of 1 1 meters per minute. n b) The pressure on ROPOS increases by 14 Pascals for every meter ROPOS descends. c) Therefore the pressure on ROPOS is increasing by 154 Pascals every minute. obl If the depth of ROPOS beneath the water is measured by s, pressure by P, time by t, and the standard units are units, then rewrite each of these sentences in Leibniz derivative notation: gs a) dP/ds v = m/min les b) dP/ds v = m/min blems c) dP/ds m/min

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